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Simplifying 125a4 + -45a2 = 0 Reorder the terms: -45a2 + 125a4 = 0 Solving -45a2 + 125a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2'. 5a2(-9 + 25a2) = 0 Factor a difference between two squares. 5a2((3 + 5a)(-3 + 5a)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(3 + 5a)' equal to zero and attempt to solve: Simplifying 3 + 5a = 0 Solving 3 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = 0 + -3 5a = 0 + -3 Combine like terms: 0 + -3 = -3 5a = -3 Divide each side by '5'. a = -0.6 Simplifying a = -0.6Subproblem 3
Set the factor '(-3 + 5a)' equal to zero and attempt to solve: Simplifying -3 + 5a = 0 Solving -3 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5a = 0 + 3 5a = 0 + 3 Combine like terms: 0 + 3 = 3 5a = 3 Divide each side by '5'. a = 0.6 Simplifying a = 0.6Solution
a = {0, -0.6, 0.6}
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